532953 has 8 divisors (see below), whose sum is σ = 789600. Its totient is φ = 355284.

The previous prime is 532951. The next prime is 532981. The reversal of 532953 is 359235.

It is not a de Polignac number, because 532953 - 2¹ = 532951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 19739 = 532953 / (5 + 3 + 2 + 9 + 5 + 3).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5² + 3⁶ + 9³ + 2² + 5² + 3¹² .

532953 is a lucky number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (532951) 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, 9843 + ... + 9896.

It is an arithmetic number, because the mean of its divisors is an integer number (98700).

2⁵³²⁹⁵³ is an apocalyptic number.

It is an amenable number.

532953 is a deficient number, since it is larger than the sum of its proper divisors (256647).

532953 is a wasteful number, since it uses less digits than its factorization.

532953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19748 (or 19742 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 532953 is about 730.0363004673. The cubic root of 532953 is about 81.0767448222.

It can be divided in two parts, 532 and 953, that added together give a triangular number (1485 = T₅₄).

The spelling of 532953 in words is "five hundred thirty-two thousand, nine hundred fifty-three".