2057265 has 48 divisors (see below), whose sum is σ = 4268160. Its totient is φ = 937440.

The previous prime is 2057233. The next prime is 2057291. The reversal of 2057265 is 5627502.

It is not a de Polignac number, because 2057265 - 2⁵ = 2057233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 6460 + ... + 6770.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

2^2057265 is an apocalyptic number.

It is an amenable number.

2057265 is an abundant number, since it is smaller than the sum of its proper divisors (2210895).

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

2057265 is a wasteful number, since it uses less digits than its factorization.

2057265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2057265 is about 1434.3169105885. The cubic root of 2057265 is about 127.1832970236.

Adding to 2057265 its product of nonzero digits (4200), we get a triangular number (2061465 = T₂₀₃₀).

The spelling of 2057265 in words is "two million, fifty-seven thousand, two hundred sixty-five".