363997 has 4 divisors (see below), whose sum is σ = 365760. Its totient is φ = 362236.

The previous prime is 363989. The next prime is 364027. The reversal of 363997 is 799363.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 363997 - 2³ = 363989 is a prime.

It is a Duffinian number.

363997 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363917) 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, 523 + ... + 1000.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

2³⁶³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

363997 is a deficient number, since it is larger than the sum of its proper divisors (1763).

363997 is a wasteful number, since it uses less digits than its factorization.

363997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762.

The product of its digits is 30618, while the sum is 37.

The square root of 363997 is about 603.3216389290. The cubic root of 363997 is about 71.4001736638.

It can be divided in two parts, 3 and 63997, that added together give a cube (64000 = 40³).

The spelling of 363997 in words is "three hundred sixty-three thousand, nine hundred ninety-seven".