83766738 has 16 divisors (see below), whose sum is σ = 182763936. Its totient is φ = 25383840.

The previous prime is 83766733. The next prime is 83766751.

83766738 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (83766733) 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, 634531 + ... + 634662.

It is an arithmetic number, because the mean of its divisors is an integer number (11422746).

Almost surely, 2^83766738 is an apocalyptic number.

83766738 is an abundant number, since it is smaller than the sum of its proper divisors (98997198).

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

83766738 is a wasteful number, since it uses less digits than its factorization.

83766738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269209.

The product of its digits is 1016064, while the sum is 48.

The square root of 83766738 is about 9152.4170578050. The cubic root of 83766738 is about 437.5461511042.

The spelling of 83766738 in words is "eighty-three million, seven hundred sixty-six thousand, seven hundred thirty-eight".