36126261 has 24 divisors (see below), whose sum is σ = 54787200. Its totient is φ = 22895136.

The previous prime is 36126229. The next prime is 36126281. The reversal of 36126261 is 16262163.

36126261 is a `hidden beast` number, since 36 + 1 + 2 + 626 + 1 = 666.

It is not a de Polignac number, because 36126261 - 2⁵ = 36126229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36126281) 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, 40755 + ... + 41631.

It is an arithmetic number, because the mean of its divisors is an integer number (2282800).

Almost surely, 2^36126261 is an apocalyptic number.

It is an amenable number.

36126261 is a deficient number, since it is larger than the sum of its proper divisors (18660939).

36126261 is a wasteful number, since it uses less digits than its factorization.

36126261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 36126261 is about 6010.5125405409. The cubic root of 36126261 is about 330.5782972854.

The spelling of 36126261 in words is "thirty-six million, one hundred twenty-six thousand, two hundred sixty-one".