2957000 has 32 divisors (see below), whose sum is σ = 6921720. Its totient is φ = 1182400.

The previous prime is 2956999. The next prime is 2957023. The reversal of 2957000 is 7592.

2957000 = T₁₅₂ + T₁₅₃ + ... + T₂₇₆.

2957000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 454276 + 2502724 = 674^2 + 1582^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479 + ... + 2478.

2^2957000 is an apocalyptic number.

2957000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2957000 is an abundant number, since it is smaller than the sum of its proper divisors (3964720).

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

2957000 is a wasteful number, since it uses less digits than its factorization.

2957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 2957000 is about 1719.5929750961. The cubic root of 2957000 is about 143.5325635206.

The spelling of 2957000 in words is "two million, nine hundred fifty-seven thousand".