61164009 has 12 divisors (see below), whose sum is σ = 88498800. Its totient is φ = 40706424.

The previous prime is 61164007. The next prime is 61164013. The reversal of 61164009 is 90046116.

61164009 is a `hidden beast` number, since 6 + 11 + 640 + 0 + 9 = 666.

It is not a de Polignac number, because 61164009 - 2¹ = 61164007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61164001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 11060.

It is an arithmetic number, because the mean of its divisors is an integer number (7374900).

Almost surely, 2^61164009 is an apocalyptic number.

It is an amenable number.

61164009 is a deficient number, since it is larger than the sum of its proper divisors (27334791).

61164009 is a wasteful number, since it uses less digits than its factorization.

61164009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11604 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61164009 is about 7820.7422282032. The cubic root of 61164009 is about 394.0022009377.

It can be divided in two parts, 611 and 64009, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 61164009 in words is "sixty-one million, one hundred sixty-four thousand, nine".