117362007 has 48 divisors (see below), whose sum is σ = 207060480. Its totient is φ = 65472624.

The previous prime is 117361997. The next prime is 117362057. The reversal of 117362007 is 700263711.

It is not a de Polignac number, because 117362007 - 2⁴ = 117361991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117362057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55858 + ... + 57920.

It is an arithmetic number, because the mean of its divisors is an integer number (4313760).

Almost surely, 2^117362007 is an apocalyptic number.

117362007 is a deficient number, since it is larger than the sum of its proper divisors (89698473).

117362007 is a wasteful number, since it uses less digits than its factorization.

117362007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 117362007 is about 10833.3746819724. The cubic root of 117362007 is about 489.6012402050.

The spelling of 117362007 in words is "one hundred seventeen million, three hundred sixty-two thousand, seven".