363961 has 4 divisors (see below), whose sum is σ = 391972. Its totient is φ = 335952.

The previous prime is 363959. The next prime is 363967. The reversal of 363961 is 169363.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169363 = 257 ⋅659.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 156025 = 456^2 + 395^2 .

It is a cyclic number.

It is not a de Polignac number, because 363961 - 2¹ = 363959 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (363967) 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, 13986 + ... + 14011.

It is an arithmetic number, because the mean of its divisors is an integer number (97993).

2³⁶³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

363961 is a deficient number, since it is larger than the sum of its proper divisors (28011).

363961 is a wasteful number, since it uses less digits than its factorization.

363961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28010.

The product of its digits is 2916, while the sum is 28.

The square root of 363961 is about 603.2918033589. The cubic root of 363961 is about 71.3978197149.

It can be divided in two parts, 363 and 961, that multiplied together give a palindrome (348843).

The spelling of 363961 in words is "three hundred sixty-three thousand, nine hundred sixty-one".