11877261 has 24 divisors (see below), whose sum is σ = 18251424. Its totient is φ = 6812640.

The previous prime is 11877253. The next prime is 11877263. The reversal of 11877261 is 16277811.

It is not a de Polignac number, because 11877261 - 2³ = 11877253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11877263) 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, 11415 + ... + 12411.

It is an arithmetic number, because the mean of its divisors is an integer number (760476).

Almost surely, 2^11877261 is an apocalyptic number.

11877261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11877261 is a deficient number, since it is larger than the sum of its proper divisors (6374163).

11877261 is a wasteful number, since it uses less digits than its factorization.

11877261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1030 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 11877261 is about 3446.3402327687. The cubic root of 11877261 is about 228.1596104615.

It can be divided in two parts, 1187 and 7261, that added together give a palindrome (8448).

The spelling of 11877261 in words is "eleven million, eight hundred seventy-seven thousand, two hundred sixty-one".