361947 has 16 divisors (see below), whose sum is σ = 525312. Its totient is φ = 220800.

The previous prime is 361943. The next prime is 361961. The reversal of 361947 is 749163.

It is a happy number.

It is not a de Polignac number, because 361947 - 2² = 361943 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361947.

It is not an unprimeable number, because it can be changed into a prime (361943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2322 + ... + 2472.

It is an arithmetic number, because the mean of its divisors is an integer number (32832).

2³⁶¹⁹⁴⁷ is an apocalyptic number.

361947 is a deficient number, since it is larger than the sum of its proper divisors (163365).

361947 is a wasteful number, since it uses less digits than its factorization.

361947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its digits is 4536, while the sum is 30.

The square root of 361947 is about 601.6203121571. The cubic root of 361947 is about 71.2658813475.

The spelling of 361947 in words is "three hundred sixty-one thousand, nine hundred forty-seven".