10211257 has 6 divisors (see below), whose sum is σ = 11878458. Its totient is φ = 8752464.

The previous prime is 10211251. The next prime is 10211261. The reversal of 10211257 is 75211201.

10211257 is digitally balanced in base 3, 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 only one way, i.e., 9357481 + 853776 = 3059^2 + 924^2 .

It is not a de Polignac number, because 10211257 - 2³ = 10211249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104148 + ... + 104245.

It is an arithmetic number, because the mean of its divisors is an integer number (1979743).

Almost surely, 2^10211257 is an apocalyptic number.

It is an amenable number.

10211257 is a deficient number, since it is larger than the sum of its proper divisors (1667201).

10211257 is an equidigital number, since it uses as much as digits as its factorization.

10211257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208407 (or 208400 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 10211257 is about 3195.5057502686. The cubic root of 10211257 is about 216.9500405280.

Adding to 10211257 its reverse (75211201), we get a palindrome (85422458).

It can be divided in two parts, 1021 and 1257, that added together give a triangular number (2278 = T₆₇).

The spelling of 10211257 in words is "ten million, two hundred eleven thousand, two hundred fifty-seven".