48951 has 24 divisors (see below), whose sum is σ = 86640. Its totient is φ = 27216.

The previous prime is 48947. The next prime is 48953. The reversal of 48951 is 15984.

It is not a de Polignac number, because 48951 - 2² = 48947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime factors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (3610).

2⁴⁸⁹⁵¹ is an apocalyptic number.

48951 is the 111-st decagonal number.

48951 is a deficient number, since it is larger than the sum of its proper divisors (37689).

48951 is a wasteful number, since it uses less digits than its factorization.

48951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 48951 is about 221.2487288099. The cubic root of 48951 is about 36.5808553464.

Multiplying 48951 by its reverse (15984), we get a square (782432784 = 27972²).

It can be divided in two parts, 48 and 951, that added together give a palindrome (999).

The spelling of 48951 in words is "forty-eight thousand, nine hundred fifty-one".