83105772 has 24 divisors (see below), whose sum is σ = 204120000. Its totient is φ = 26243856.

The previous prime is 83105767. The next prime is 83105777. The reversal of 83105772 is 27750138.

It is an interprime number because it is at equal distance from previous prime (83105767) and next prime (83105777).

It is a super-3 number, since 3×83105772³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83105777) 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, 182022 + ... + 182477.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2^83105772 is an apocalyptic number.

It is an amenable number.

83105772 is an abundant number, since it is smaller than the sum of its proper divisors (121014228).

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

83105772 is a wasteful number, since it uses less digits than its factorization.

83105772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364525 (or 364523 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 83105772 is about 9116.2367235609. The cubic root of 83105772 is about 436.3922836464.

The spelling of 83105772 in words is "eighty-three million, one hundred five thousand, seven hundred seventy-two".