11257961 has 24 divisors (see below), whose sum is σ = 14143752. Its totient is φ = 8870400.

The previous prime is 11257949. The next prime is 11258011. The reversal of 11257961 is 16975211.

11257961 is digitally balanced in base 2 and base 3, because in such bases 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 1936 + 11256025 = 44^2 + 3355^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11257961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26531 + ... + 26951.

It is an arithmetic number, because the mean of its divisors is an integer number (589323).

Almost surely, 2^11257961 is an apocalyptic number.

11257961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11257961 is a deficient number, since it is larger than the sum of its proper divisors (2885791).

11257961 is a wasteful number, since it uses less digits than its factorization.

11257961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 3780, while the sum is 32.

The square root of 11257961 is about 3355.2885121849. The cubic root of 11257961 is about 224.1230788850.

The spelling of 11257961 in words is "eleven million, two hundred fifty-seven thousand, nine hundred sixty-one".