61984003 has 8 divisors (see below), whose sum is σ = 63163296. Its totient is φ = 60816000.

The previous prime is 61983979. The next prime is 61984009. The reversal of 61984003 is 30048916.

61984003 = T₁₀₅₇ + T₁₀₅₈ + ... + T₁₁₅₇.

61984003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 61984003 - 2¹³ = 61975811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61984009) 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, 8698 + ... + 14128.

It is an arithmetic number, because the mean of its divisors is an integer number (7895412).

Almost surely, 2^61984003 is an apocalyptic number.

61984003 is a deficient number, since it is larger than the sum of its proper divisors (1179293).

61984003 is a wasteful number, since it uses less digits than its factorization.

61984003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 61984003 is about 7872.9919979637. The cubic root of 61984003 is about 395.7551180443.

It can be divided in two parts, 6198 and 4003, that added together give a palindrome (10201).

The spelling of 61984003 in words is "sixty-one million, nine hundred eighty-four thousand, three".