362949 has 8 divisors (see below), whose sum is σ = 486720. Its totient is φ = 240576.

The previous prime is 362941. The next prime is 362951. The reversal of 362949 is 949263.

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

It is not a de Polignac number, because 362949 - 2³ = 362941 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

362949 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362949.

It is not an unprimeable number, because it can be changed into a prime (362941) 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, 832 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (60840).

2³⁶²⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

362949 is a deficient number, since it is larger than the sum of its proper divisors (123771).

362949 is a wasteful number, since it uses less digits than its factorization.

362949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699.

The product of its digits is 11664, while the sum is 33.

The square root of 362949 is about 602.4524877532. The cubic root of 362949 is about 71.3315839868.

The spelling of 362949 in words is "three hundred sixty-two thousand, nine hundred forty-nine".