61736401 has 8 divisors (see below), whose sum is σ = 65969640. Its totient is φ = 57570048.

The previous prime is 61736317. The next prime is 61736429. The reversal of 61736401 is 10463716.

61736401 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 4 ways, for example, as 16524225 + 45212176 = 4065^2 + 6724^2 .

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 61736401 - 2¹⁵ = 61703633 is a prime.

It is a super-2 number, since 2×61736401² = 7622766416865602, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61736401.

It is not an unprimeable number, because it can be changed into a prime (61746401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14806 + ... + 18511.

It is an arithmetic number, because the mean of its divisors is an integer number (8246205).

Almost surely, 2^61736401 is an apocalyptic number.

It is an amenable number.

61736401 is a deficient number, since it is larger than the sum of its proper divisors (4233239).

61736401 is a wasteful number, since it uses less digits than its factorization.

61736401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33443.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 61736401 is about 7857.2514914568. The cubic root of 61736401 is about 395.2274521879.

The spelling of 61736401 in words is "sixty-one million, seven hundred thirty-six thousand, four hundred one".