542633 has 16 divisors (see below), whose sum is σ = 685440. Its totient is φ = 418176.

The previous prime is 542603. The next prime is 542683. The reversal of 542633 is 336245.

It is a cyclic number.

It is not a de Polignac number, because 542633 - 2¹⁴ = 526249 is a prime.

It is a d-powerful number, because it can be written as 5⁵ + 4² + 6⁵ + 2⁵ + 3⁵ + 3¹² .

It is a junction number, because it is equal to n+sod(n) for n = 542599 and 542608.

It is not an unprimeable number, because it can be changed into a prime (542603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6053 + ... + 6141.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2⁵⁴²⁶³³ is an apocalyptic number.

It is an amenable number.

542633 is a deficient number, since it is larger than the sum of its proper divisors (142807).

542633 is a wasteful number, since it uses less digits than its factorization.

542633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its digits is 2160, while the sum is 23.

The square root of 542633 is about 736.6362738828. The cubic root of 542633 is about 81.5646669565.

Adding to 542633 its reverse (336245), we get a palindrome (878878).

The spelling of 542633 in words is "five hundred forty-two thousand, six hundred thirty-three".