83017264 has 40 divisors (see below), whose sum is σ = 177613632. Its totient is φ = 37273920.

The previous prime is 83017261. The next prime is 83017267. The reversal of 83017264 is 46271038.

It is an interprime number because it is at equal distance from previous prime (83017261) and next prime (83017267).

It is a super-2 number, since 2×83017264² = 13783732244091392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83017261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11767 + ... + 17449.

Almost surely, 2^83017264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83017264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88806816).

83017264 is an abundant number, since it is smaller than the sum of its proper divisors (94596368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83017264 is a wasteful number, since it uses less digits than its factorization.

83017264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 83017264 is about 9111.3810149724. The cubic root of 83017264 is about 436.2373087388.

The spelling of 83017264 in words is "eighty-three million, seventeen thousand, two hundred sixty-four".