82121733 has 12 divisors (see below), whose sum is σ = 119671500. Its totient is φ = 54262656.

The previous prime is 82121731. The next prime is 82121761. The reversal of 82121733 is 33712128.

It can be written as a sum of positive squares in 2 ways, for example, as 36397089 + 45724644 = 6033^2 + 6762^2 .

It is not a de Polignac number, because 82121733 - 2¹ = 82121731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82121697 and 82121706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82121731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39358 + ... + 41391.

It is an arithmetic number, because the mean of its divisors is an integer number (9972625).

Almost surely, 2^82121733 is an apocalyptic number.

It is an amenable number.

82121733 is a deficient number, since it is larger than the sum of its proper divisors (37549767).

82121733 is a wasteful number, since it uses less digits than its factorization.

82121733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80868 (or 80865 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 82121733 is about 9062.1042258407. The cubic root of 82121733 is about 434.6630287683.

The spelling of 82121733 in words is "eighty-two million, one hundred twenty-one thousand, seven hundred thirty-three".