83765052 has 72 divisors (see below), whose sum is σ = 256235616. Its totient is φ = 22523904.

The previous prime is 83764999. The next prime is 83765063. The reversal of 83765052 is 25056738.

83765052 is a `hidden beast` number, since 83 + 76 + 505 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83764998 and 83765016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5493 + ... + 14060.

It is an arithmetic number, because the mean of its divisors is an integer number (3558828).

Almost surely, 2^83765052 is an apocalyptic number.

It is an amenable number.

83765052 is an abundant number, since it is smaller than the sum of its proper divisors (172470564).

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

83765052 is a wasteful number, since it uses less digits than its factorization.

83765052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19587 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 83765052 is about 9152.3249505249. The cubic root of 83765052 is about 437.5432155406.

The spelling of 83765052 in words is "eighty-three million, seven hundred sixty-five thousand, fifty-two".