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31429 = 53593
BaseRepresentation
bin111101011000101
31121010001
413223011
52001204
6401301
7160426
oct75305
947101
1031429
1121682
1216231
13113c8
14b64d
1594a4
hex7ac5

31429 has 4 divisors (see below), whose sum is σ = 32076. Its totient is φ = 30784.

The previous prime is 31397. The next prime is 31469. The reversal of 31429 is 92413.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 21025 + 10404 = 145^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 31429 - 25 = 31397 is a prime.

It is an Ulam number.

It is a lonely number, since its distance to closest prime (31397) sets a new record.

It is a Duffinian number.

31429 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 244 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (8019).

231429 is an apocalyptic number.

It is an amenable number.

31429 is a deficient number, since it is larger than the sum of its proper divisors (647).

31429 is an equidigital number, since it uses as much as digits as its factorization.

31429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646.

The product of its digits is 216, while the sum is 19.

The square root of 31429 is about 177.2822608159. The cubic root of 31429 is about 31.5580520151.

Subtracting from 31429 its product of digits (216), we obtain a palindrome (31213).

It can be divided in two parts, 314 and 29, that added together give a palindrome (343).

The spelling of 31429 in words is "thirty-one thousand, four hundred twenty-nine".

Divisors: 1 53 593 31429