742577 has 18 divisors (see below), whose sum is σ = 912114. Its totient is φ = 601920.

The previous prime is 742559. The next prime is 742579. The reversal of 742577 is 775247.

Added to its reverse (775247) it gives a square (1517824 = 1232²).

It is a happy number.

742577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 698896 + 43681 = 836^2 + 209^2 .

It is not a de Polignac number, because 742577 - 2⁶ = 742513 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (742579) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39074 + ... + 39092.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

2⁷⁴²⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

742577 is a deficient number, since it is larger than the sum of its proper divisors (169537).

742577 is a wasteful number, since it uses less digits than its factorization.

742577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its digits is 13720, while the sum is 32.

The square root of 742577 is about 861.7290757541. The cubic root of 742577 is about 90.5552911419. Note that the first 3 decimals are identical.

Adding to 742577 its reverse (775247), we get a square (1517824 = 1232²).

The spelling of 742577 in words is "seven hundred forty-two thousand, five hundred seventy-seven".