372133 has 4 divisors (see below), whose sum is σ = 374220. Its totient is φ = 370048.

The previous prime is 372131. The next prime is 372137. The reversal of 372133 is 331273.

372133 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331273 = 257 ⋅1289.

It can be written as a sum of positive squares in 2 ways, for example, as 294849 + 77284 = 543^2 + 278^2 .

It is a cyclic number.

It is not a de Polignac number, because 372133 - 2¹ = 372131 is a prime.

It is a Duffinian number.

372133 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 372133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372131) by changing a digit.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 748 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (93555).

2³⁷²¹³³ is an apocalyptic number.

It is an amenable number.

372133 is a deficient number, since it is larger than the sum of its proper divisors (2087).

372133 is a wasteful number, since it uses less digits than its factorization.

372133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086.

The product of its digits is 378, while the sum is 19.

The square root of 372133 is about 610.0270485806. The cubic root of 372133 is about 71.9282335312.

It can be divided in two parts, 372 and 133, that added together give a palindrome (505).

The spelling of 372133 in words is "three hundred seventy-two thousand, one hundred thirty-three".