4952 has 8 divisors (see below), whose sum is σ = 9300. Its totient is φ = 2472.

The previous prime is 4951. The next prime is 4957. The reversal of 4952 is 2594.

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 4⁶ + 5³ + 9³ + 2 .

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4952.

It is not an unprimeable number, because it can be changed into a prime (4951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 302 + ... + 317.

2⁴⁹⁵² is an apocalyptic number.

It is an amenable number.

4952 is a deficient number, since it is larger than the sum of its proper divisors (4348).

4952 is a wasteful number, since it uses less digits than its factorization.

4952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 4952 is about 70.3704483430. The cubic root of 4952 is about 17.0448641950.

It can be divided in two parts, 495 and 2, that multiplied together give a triangular number (990 = T₄₄).

The spelling of 4952 in words is "four thousand, nine hundred fifty-two".