61742007 has 20 divisors (see below), whose sum is σ = 93157416. Its totient is φ = 40748400.

The previous prime is 61741991. The next prime is 61742029. The reversal of 61742007 is 70024716.

61742007 is a `hidden beast` number, since 617 + 42 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 61742007 - 2⁴ = 61741991 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61742047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4408 + ... + 11954.

Almost surely, 2^61742007 is an apocalyptic number.

61742007 is a deficient number, since it is larger than the sum of its proper divisors (31415409).

61742007 is a wasteful number, since it uses less digits than its factorization.

61742007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 61742007 is about 7857.6082238809. The cubic root of 61742007 is about 395.2394147578.

It can be divided in two parts, 617 and 42007, that added together give a palindrome (42624).

The spelling of 61742007 in words is "sixty-one million, seven hundred forty-two thousand, seven".