2582157 has 16 divisors (see below), whose sum is σ = 3672000. Its totient is φ = 1609344.

The previous prime is 2582149. The next prime is 2582159. The reversal of 2582157 is 7512852.

2582157 = T₇₅₃ + T₇₅₄ + ... + T₇₆₁.

It is not a de Polignac number, because 2582157 - 2³ = 2582149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4819 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

2^2582157 is an apocalyptic number.

It is an amenable number.

2582157 is a deficient number, since it is larger than the sum of its proper divisors (1089843).

2582157 is a wasteful number, since it uses less digits than its factorization.

2582157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620.

The product of its digits is 5600, while the sum is 30.

The square root of 2582157 is about 1606.9091449114. The cubic root of 2582157 is about 137.1916085669.

It can be divided in two parts, 25821 and 57, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 2582157 in words is "two million, five hundred eighty-two thousand, one hundred fifty-seven".