363761 has 2 divisors, whose sum is σ = 363762. Its totient is φ = 363760.

The previous prime is 363757. The next prime is 363767. The reversal of 363761 is 167363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 323761 + 40000 = 569^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 363761 - 2² = 363757 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 363761.

It is not a weakly prime, because it can be changed into another prime (363767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181880 + 181881.

It is an arithmetic number, because the mean of its divisors is an integer number (181881).

2³⁶³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

363761 is a deficient number, since it is larger than the sum of its proper divisors (1).

363761 is an equidigital number, since it uses as much as digits as its factorization.

363761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 26.

The square root of 363761 is about 603.1260233152. The cubic root of 363761 is about 71.3847393938.

The spelling of 363761 in words is "three hundred sixty-three thousand, seven hundred sixty-one".