82735134 has 32 divisors (see below), whose sum is σ = 171348480. Its totient is φ = 26615232.

The previous prime is 82735099. The next prime is 82735183. The reversal of 82735134 is 43153728.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82735095 and 82735104.

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, 18577 + ... + 22595.

It is an arithmetic number, because the mean of its divisors is an integer number (5354640).

Almost surely, 2^82735134 is an apocalyptic number.

82735134 is an abundant number, since it is smaller than the sum of its proper divisors (88613346).

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

82735134 is a wasteful number, since it uses less digits than its factorization.

82735134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144.

The product of its digits is 20160, while the sum is 33.

The square root of 82735134 is about 9095.8855533697. The cubic root of 82735134 is about 435.7425710103.

The spelling of 82735134 in words is "eighty-two million, seven hundred thirty-five thousand, one hundred thirty-four".