82337152 has 32 divisors (see below), whose sum is σ = 164683080. Its totient is φ = 41005056.

The previous prime is 82337141. The next prime is 82337153. The reversal of 82337152 is 25173328.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×82337152² = 13558813198942208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82337153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35088 + ... + 37360.

Almost surely, 2^82337152 is an apocalyptic number.

It is an amenable number.

82337152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

82337152 is a wasteful number, since it uses less digits than its factorization.

82337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2558 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 82337152 is about 9073.9821467755. The cubic root of 82337152 is about 435.0427614633.

The spelling of 82337152 in words is "eighty-two million, three hundred thirty-seven thousand, one hundred fifty-two".