127742441 has 8 divisors (see below), whose sum is σ = 129356040. Its totient is φ = 126137088.

The previous prime is 127742371. The next prime is 127742443. The reversal of 127742441 is 144247721.

It can be written as a sum of positive squares in 4 ways, for example, as 52441 + 127690000 = 229^2 + 11300^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127742441 - 2¹⁴ = 127726057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127742398 and 127742407.

It is not an unprimeable number, because it can be changed into a prime (127742443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32705 + ... + 36401.

It is an arithmetic number, because the mean of its divisors is an integer number (16169505).

Almost surely, 2^127742441 is an apocalyptic number.

It is an amenable number.

127742441 is a deficient number, since it is larger than the sum of its proper divisors (1613599).

127742441 is a wasteful number, since it uses less digits than its factorization.

127742441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123.

The product of its digits is 12544, while the sum is 32.

The square root of 127742441 is about 11302.3201600379. The cubic root of 127742441 is about 503.6301679759.

The spelling of 127742441 in words is "one hundred twenty-seven million, seven hundred forty-two thousand, four hundred forty-one".