362121 has 8 divisors (see below), whose sum is σ = 508320. Its totient is φ = 228672.

The previous prime is 362107. The next prime is 362137. The reversal of 362121 is 121263.

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

It is not a de Polignac number, because 362121 - 2⁷ = 361993 is a prime.

It is a super-2 number, since 2×362121² = 262263237282, which contains 22 as substring.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 362121.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362121.

It is not an unprimeable number, because it can be changed into a prime (362161) 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, 3120 + ... + 3233.

It is an arithmetic number, because the mean of its divisors is an integer number (63540).

2³⁶²¹²¹ is an apocalyptic number.

It is an amenable number.

362121 is a deficient number, since it is larger than the sum of its proper divisors (146199).

362121 is a wasteful number, since it uses less digits than its factorization.

362121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375.

The product of its digits is 72, while the sum is 15.

The square root of 362121 is about 601.7649042608. The cubic root of 362121 is about 71.2772994804.

Adding to 362121 its reverse (121263), we get a palindrome (483384).

The spelling of 362121 in words is "three hundred sixty-two thousand, one hundred twenty-one".