83733965 has 16 divisors (see below), whose sum is σ = 115212672. Its totient is φ = 57228864.

The previous prime is 83733929. The next prime is 83733983. The reversal of 83733965 is 56933738.

It is not a de Polignac number, because 83733965 - 2¹⁰ = 83732941 is a prime.

It is a super-2 number, since 2×83733965² = 14022753789242450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7322 + ... + 14868.

It is an arithmetic number, because the mean of its divisors is an integer number (7200792).

Almost surely, 2^83733965 is an apocalyptic number.

It is an amenable number.

83733965 is a deficient number, since it is larger than the sum of its proper divisors (31478707).

83733965 is a wasteful number, since it uses less digits than its factorization.

83733965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7876.

The product of its digits is 408240, while the sum is 44.

The square root of 83733965 is about 9150.6264812853. The cubic root of 83733965 is about 437.4890816323.

The spelling of 83733965 in words is "eighty-three million, seven hundred thirty-three thousand, nine hundred sixty-five".