83765772 has 48 divisors (see below), whose sum is σ = 217732480. Its totient is φ = 27849744.

The previous prime is 83765767. The next prime is 83765777. The reversal of 83765772 is 27756738.

83765772 is a `hidden beast` number, since 8 + 3 + 76 + 577 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (83765767) and next prime (83765777).

It is not an unprimeable number, because it can be changed into a prime (83765777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55743 + ... + 57225.

Almost surely, 2^83765772 is an apocalyptic number.

It is an amenable number.

83765772 is an abundant number, since it is smaller than the sum of its proper divisors (133966708).

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

83765772 is a wasteful number, since it uses less digits than its factorization.

83765772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2011 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 83765772 is about 9152.3642847081. The cubic root of 83765772 is about 437.5444691669.

The spelling of 83765772 in words is "eighty-three million, seven hundred sixty-five thousand, seven hundred seventy-two".