363973 has 4 divisors (see below), whose sum is σ = 367308. Its totient is φ = 360640.

The previous prime is 363967. The next prime is 363977. The reversal of 363973 is 379363.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 379363 = 349 ⋅1087.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 247009 = 342^2 + 497^2 .

It is a cyclic number.

It is not a de Polignac number, because 363973 - 2⁵ = 363941 is a prime.

It is a Duffinian number.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 1498 + ... + 1723.

It is an arithmetic number, because the mean of its divisors is an integer number (91827).

2³⁶³⁹⁷³ is an apocalyptic number.

It is an amenable number.

363973 is a deficient number, since it is larger than the sum of its proper divisors (3335).

363973 is a wasteful number, since it uses less digits than its factorization.

363973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334.

The product of its digits is 10206, while the sum is 31.

The square root of 363973 is about 603.3017487129. The cubic root of 363973 is about 71.3986043818.

The spelling of 363973 in words is "three hundred sixty-three thousand, nine hundred seventy-three".