363407 has 4 divisors (see below), whose sum is σ = 396456. Its totient is φ = 330360.

The previous prime is 363403. The next prime is 363431. The reversal of 363407 is 704363.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 704363 = 11 ⋅64033.

It is a cyclic number.

It is not a de Polignac number, because 363407 - 2² = 363403 is a prime.

It is a Duffinian number.

363407 is a modest number, since divided by 407 gives 363 as remainder.

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 363407.

It is not an unprimeable number, because it can be changed into a prime (363401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16508 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (99114).

2³⁶³⁴⁰⁷ is an apocalyptic number.

363407 is a deficient number, since it is larger than the sum of its proper divisors (33049).

363407 is a wasteful number, since it uses less digits than its factorization.

363407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33048.

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 363407 is about 602.8324808767. The cubic root of 363407 is about 71.3615754669.

It can be divided in two parts, 363 and 407, that multiplied together give a palindrome (147741).

The spelling of 363407 in words is "three hundred sixty-three thousand, four hundred seven".