52633 has 8 divisors (see below), whose sum is σ = 61568. Its totient is φ = 44064.

The previous prime is 52631. The next prime is 52639. The reversal of 52633 is 33625.

52633 is nontrivially palindromic in base 6.

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

It is a 2-Lehmer number, since φ(52633) divides (52633-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 52633 - 2¹ = 52631 is a prime.

It is a deceptive number, since it divides R₅₂₆₃₂.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52633.

It is not an unprimeable number, because it can be changed into a prime (52631) 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, 460 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (7696).

It is a Poulet number, since it divides 2⁵²⁶³²-1.

2⁵²⁶³³ is an apocalyptic number.

It is an amenable number.

52633 is a deficient number, since it is larger than the sum of its proper divisors (8935).

52633 is a wasteful number, since it uses less digits than its factorization.

52633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 540, while the sum is 19.

The square root of 52633 is about 229.4188309621. The cubic root of 52633 is about 37.4759549560.

The spelling of 52633 in words is "fifty-two thousand, six hundred thirty-three".