61538127 has 16 divisors (see below), whose sum is σ = 93898752. Its totient is φ = 35117280.

The previous prime is 61538101. The next prime is 61538129. The reversal of 61538127 is 72183516.

It is not a de Polignac number, because 61538127 - 2⁶ = 61538063 is a prime.

It is a super-3 number, since 3×61538127³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61538129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19333 + ... + 22289.

It is an arithmetic number, because the mean of its divisors is an integer number (5868672).

Almost surely, 2^61538127 is an apocalyptic number.

61538127 is a deficient number, since it is larger than the sum of its proper divisors (32360625).

61538127 is a wasteful number, since it uses less digits than its factorization.

61538127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958.

The product of its digits is 10080, while the sum is 33.

The square root of 61538127 is about 7844.6240827716. The cubic root of 61538127 is about 394.8038913296.

The spelling of 61538127 in words is "sixty-one million, five hundred thirty-eight thousand, one hundred twenty-seven".