61838101 has 8 divisors (see below), whose sum is σ = 67082904. Its totient is φ = 56663040.

The previous prime is 61838083. The next prime is 61838111. The reversal of 61838101 is 10183816.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4835601 + 57002500 = 2199^2 + 7550^2 .

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 61838101 - 2¹¹ = 61836053 is a prime.

It is an alternating number because its digits alternate between even and odd.

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 61838101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61838111) 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, 15580 + ... + 19141.

It is an arithmetic number, because the mean of its divisors is an integer number (8385363).

Almost surely, 2^61838101 is an apocalyptic number.

It is an amenable number.

61838101 is a deficient number, since it is larger than the sum of its proper divisors (5244803).

61838101 is a wasteful number, since it uses less digits than its factorization.

61838101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34871.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 61838101 is about 7863.7205570900. The cubic root of 61838101 is about 395.4443559928. Note that the first 3 decimals are identical.

The spelling of 61838101 in words is "sixty-one million, eight hundred thirty-eight thousand, one hundred one".