363764 has 12 divisors (see below), whose sum is σ = 641088. Its totient is φ = 180600.

The previous prime is 363761. The next prime is 363767. The reversal of 363764 is 467363.

It is an interprime number because it is at equal distance from previous prime (363761) and next prime (363767).

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 363764.

It is not an unprimeable number, because it can be changed into a prime (363761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (53424).

2³⁶³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

363764 is a deficient number, since it is larger than the sum of its proper divisors (277324).

363764 is a wasteful number, since it uses less digits than its factorization.

363764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its digits is 9072, while the sum is 29.

The square root of 363764 is about 603.1285103525. The cubic root of 363764 is about 71.3849356340.

The spelling of 363764 in words is "three hundred sixty-three thousand, seven hundred sixty-four".