82157733 has 20 divisors (see below), whose sum is σ = 140263200. Its totient is φ = 46946952.

The previous prime is 82157731. The next prime is 82157737. The reversal of 82157733 is 33775128.

82157733 is a `hidden beast` number, since 82 + 1 + 577 + 3 + 3 = 666.

It is not a de Polignac number, because 82157733 - 2¹ = 82157731 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82157731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71883 + ... + 73016.

It is an arithmetic number, because the mean of its divisors is an integer number (7013160).

Almost surely, 2^82157733 is an apocalyptic number.

It is an amenable number.

82157733 is a deficient number, since it is larger than the sum of its proper divisors (58105467).

82157733 is a wasteful number, since it uses less digits than its factorization.

82157733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144918 (or 144909 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 82157733 is about 9064.0903018450. The cubic root of 82157733 is about 434.7265344221.

The spelling of 82157733 in words is "eighty-two million, one hundred fifty-seven thousand, seven hundred thirty-three".