36641007 has 24 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 21768768.

The previous prime is 36640991. The next prime is 36641021. The reversal of 36641007 is 70014663.

It is not a de Polignac number, because 36641007 - 2⁴ = 36640991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36641057) 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, 2007 + ... + 8792.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^36641007 is an apocalyptic number.

36641007 is a deficient number, since it is larger than the sum of its proper divisors (22326993).

36641007 is a wasteful number, since it uses less digits than its factorization.

36641007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36641007 is about 6053.1815601384. The cubic root of 36641007 is about 332.1409832113.

The spelling of 36641007 in words is "thirty-six million, six hundred forty-one thousand, seven".