61877241 has 24 divisors (see below), whose sum is σ = 93093000. Its totient is φ = 39571200.

The previous prime is 61877237. The next prime is 61877251. The reversal of 61877241 is 14277816.

It can be written as a sum of positive squares in 4 ways, for example, as 9734400 + 52142841 = 3120^2 + 7221^2 .

It is not a de Polignac number, because 61877241 - 2² = 61877237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61877196 and 61877205.

It is not an unprimeable number, because it can be changed into a prime (61877251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21135 + ... + 23883.

It is an arithmetic number, because the mean of its divisors is an integer number (3878875).

Almost surely, 2^61877241 is an apocalyptic number.

61877241 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

61877241 is a deficient number, since it is larger than the sum of its proper divisors (31215759).

61877241 is a wasteful number, since it uses less digits than its factorization.

61877241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2854 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 61877241 is about 7866.2088072972. The cubic root of 61877241 is about 395.5277696569.

The spelling of 61877241 in words is "sixty-one million, eight hundred seventy-seven thousand, two hundred forty-one".