361347 has 8 divisors (see below), whose sum is σ = 550656. Its totient is φ = 206472.

The previous prime is 361337. The next prime is 361349. The reversal of 361347 is 743163.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 361347 - 2⁷ = 361219 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361347.

It is not an unprimeable number, because it can be changed into a prime (361349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8583 + ... + 8624.

It is an arithmetic number, because the mean of its divisors is an integer number (68832).

2³⁶¹³⁴⁷ is an apocalyptic number.

361347 is a deficient number, since it is larger than the sum of its proper divisors (189309).

361347 is a wasteful number, since it uses less digits than its factorization.

361347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17217.

The product of its digits is 1512, while the sum is 24.

The square root of 361347 is about 601.1214519546. The cubic root of 361347 is about 71.2264803872.

It can be divided in two parts, 3 and 61347, that multiplied together give a square (184041 = 429²).

The spelling of 361347 in words is "three hundred sixty-one thousand, three hundred forty-seven".