361307 has 6 divisors (see below), whose sum is σ = 378252. Its totient is φ = 345092.

The previous prime is 361279. The next prime is 361313. The reversal of 361307 is 703163.

361307 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 361307 - 2¹² = 357211 is a prime.

It is a Duffinian number.

361307 is an undulating number in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361307.

It is not an unprimeable number, because it can be changed into a prime (361327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (63042).

2³⁶¹³⁰⁷ is an apocalyptic number.

361307 is a deficient number, since it is larger than the sum of its proper divisors (16945).

361307 is an equidigital number, since it uses as much as digits as its factorization.

361307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 361307 is about 601.0881798871. The cubic root of 361307 is about 71.2238521062.

It can be divided in two parts, 3 and 61307, that multiplied together give a triangular number (183921 = T₆₀₆).

The spelling of 361307 in words is "three hundred sixty-one thousand, three hundred seven".