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332929 = 5772
BaseRepresentation
bin1010001010010000001
3121220200201
41101102001
541123204
611045201
72554432
oct1212201
9556621
10332929
11208153
12140801
13b86cc
1489489
15689a4
hex51481

332929 has 3 divisors (see below), whose sum is σ = 333507. Its totient is φ = 332352.

The previous prime is 332921. The next prime is 332933. The reversal of 332929 is 929233.

It is a happy number.

The square root of 332929 is 577.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 929233 = 1948907.

It can be written as a sum of positive squares in only one way, i.e., 330625 + 2304 = 575^2 + 48^2 .

It is not a de Polignac number, because 332929 - 23 = 332921 is a prime.

It is a super-2 number, since 2×3329292 = 221683438082, which contains 22 as substring.

It is a Duffinian number.

332929 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 332897 and 332906.

It is not an unprimeable number, because it can be changed into a prime (332921) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 289 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (111169).

2332929 is an apocalyptic number.

332929 is the 577-th square number.

332929 is the 289-th centered octagonal number.

It is an amenable number.

332929 is a deficient number, since it is larger than the sum of its proper divisors (578).

332929 is an frugal number, since it uses more digits than its factorization.

332929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The cubic root of 332929 is about 69.3080811844.

Multiplying 332929 by its product of digits (2916), we get a square (970820964 = 311582).

The spelling of 332929 in words is "three hundred thirty-two thousand, nine hundred twenty-nine".

Divisors: 1 577 332929