82967157 has 96 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 40089600.

The previous prime is 82967119. The next prime is 82967189. The reversal of 82967157 is 75176928.

It is not a de Polignac number, because 82967157 - 2¹⁰ = 82966133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82967117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821407 + ... + 821507.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^82967157 is an apocalyptic number.

It is an amenable number.

82967157 is a deficient number, since it is larger than the sum of its proper divisors (77425803).

82967157 is a wasteful number, since it uses less digits than its factorization.

82967157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 200 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 82967157 is about 9108.6309070024. The cubic root of 82967157 is about 436.1495240179.

The spelling of 82967157 in words is "eighty-two million, nine hundred sixty-seven thousand, one hundred fifty-seven".