55219761 has 9 divisors (see below), whose sum is σ = 79794091. Its totient is φ = 36798312.

The previous prime is 55219751. The next prime is 55219763. The reversal of 55219761 is 16791255.

The square root of 55219761 is 7431.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27720225 + 27499536 = 5265^2 + 5244^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 55219761 - 2¹⁵ = 55186993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55219763) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21055 + ... + 23531.

Almost surely, 2^55219761 is an apocalyptic number.

55219761 is the 7431-st square number.

55219761 is the 3716-th centered octagonal number.

It is an amenable number.

55219761 is a deficient number, since it is larger than the sum of its proper divisors (24574330).

55219761 is an frugal number, since it uses more digits than its factorization.

55219761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 2480 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The cubic root of 55219761 is about 380.8010824336.

Multiplying 55219761 by its sum of digits (36), we get a square (1987911396 = 44586²).

The spelling of 55219761 in words is "fifty-five million, two hundred nineteen thousand, seven hundred sixty-one".