83697152 has 120 divisors (see below), whose sum is σ = 211163568. Its totient is φ = 32440320.

The previous prime is 83697151. The next prime is 83697157. The reversal of 83697152 is 25179638.

It is a super-2 number, since 2×83697152² = 14010426505822208, which contains 22 as substring.

Its product of digits (90720) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83697151) 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, 433568 + ... + 433760.

Almost surely, 2^83697152 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 83697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105581784).

83697152 is an abundant number, since it is smaller than the sum of its proper divisors (127466416).

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

83697152 is a wasteful number, since it uses less digits than its factorization.

83697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 83697152 is about 9148.6147585304. The cubic root of 83697152 is about 437.4249593201.

The spelling of 83697152 in words is "eighty-three million, six hundred ninety-seven thousand, one hundred fifty-two".