361337 has 2 divisors, whose sum is σ = 361338. Its totient is φ = 361336.

The previous prime is 361327. The next prime is 361349. The reversal of 361337 is 733163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219961 + 141376 = 469^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 361337 - 2⁴ = 361321 is a prime.

It is equal to p₃₀₈₄₈ and since 361337 and 30848 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361337.

It is not a weakly prime, because it can be changed into another prime (361327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180668 + 180669.

It is an arithmetic number, because the mean of its divisors is an integer number (180669).

2³⁶¹³³⁷ is an apocalyptic number.

It is an amenable number.

361337 is a deficient number, since it is larger than the sum of its proper divisors (1).

361337 is an equidigital number, since it uses as much as digits as its factorization.

361337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134, while the sum is 23.

The square root of 361337 is about 601.1131341104. The cubic root of 361337 is about 71.2258233352.

The spelling of 361337 in words is "three hundred sixty-one thousand, three hundred thirty-seven".