83610252 has 48 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 25336080.

The previous prime is 83610251. The next prime is 83610253. The reversal of 83610252 is 25201638.

It is an interprime number because it is at equal distance from previous prime (83610251) and next prime (83610253).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83610251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34002 + ... + 36377.

It is an arithmetic number, because the mean of its divisors is an integer number (4926600).

Almost surely, 2^83610252 is an apocalyptic number.

It is an amenable number.

83610252 is an abundant number, since it is smaller than the sum of its proper divisors (152866548).

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

83610252 is a wasteful number, since it uses less digits than its factorization.

83610252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70403 (or 70395 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83610252 is about 9143.8641722195. The cubic root of 83610252 is about 437.2735189136.

The spelling of 83610252 in words is "eighty-three million, six hundred ten thousand, two hundred fifty-two".