364007 has 8 divisors (see below), whose sum is σ = 420000. Its totient is φ = 309024.

The previous prime is 363989. The next prime is 364027. The reversal of 364007 is 700463.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 364007 - 2⁸ = 363751 is a prime.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 364007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364007.

It is not an unprimeable number, because it can be changed into a prime (364027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 869 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (52500).

2³⁶⁴⁰⁰⁷ is an apocalyptic number.

364007 is a deficient number, since it is larger than the sum of its proper divisors (55993).

364007 is a wasteful number, since it uses less digits than its factorization.

364007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 364007 is about 603.3299263256. The cubic root of 364007 is about 71.4008275110.

The spelling of 364007 in words is "three hundred sixty-four thousand, seven".