363971 has 8 divisors (see below), whose sum is σ = 384000. Its totient is φ = 344520.

The previous prime is 363967. The next prime is 363977. The reversal of 363971 is 179363.

363971 = 44² + 45² + ... + 105².

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 363971 - 2² = 363967 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363977) 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, 1730 + ... + 1928.

It is an arithmetic number, because the mean of its divisors is an integer number (48000).

2³⁶³⁹⁷¹ is an apocalyptic number.

363971 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

363971 is a deficient number, since it is larger than the sum of its proper divisors (20029).

363971 is a wasteful number, since it uses less digits than its factorization.

363971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its digits is 3402, while the sum is 29.

The square root of 363971 is about 603.3000911653. The cubic root of 363971 is about 71.3984736052.

The spelling of 363971 in words is "three hundred sixty-three thousand, nine hundred seventy-one".